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# 1Math 50 : Elementary Algebra - page 10 / 15

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51. The total value of nickels and dimes in a coin bank is \$3. If the nickels

were dimes and the dimes were nickels, the total value of the coins

would be \$3.75. find the number of nickels and the number of dimes in

the bank.

52. Solve.                           (Show your work step by step.)

53. Jackson has a total of \$6000 invested in two simple interest accounts.

The annual simple interest rates are 9% and 6%. How much is invested

in each account if the total interest earned is \$432.

Use two variables and two equations.

x = the amount invested @9% account

y =  the amount invested @ 6% account

Account

Principal(\$)

Interest rate(%)

Interest(\$)

@9%

x

.09

@6%

y

.06

Total

\$6000

\$432

Set up the equations and solve the problem.

Use the total principal \$6,000 to set up the first equation.

Use the total interest earned \$432 to set up the second equation.

54. Simplify

55. Simplify

56.  Simplify